{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Paraxial to Thick Lens Conversion\n",
    "\n",
    "Paraxial surfaces can be automatically converted into a thick lens equivalent."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import optiland.backend as be\n",
    "from optiland.optic import Optic\n",
    "from optiland.surfaces import convert_to_thick_lens"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens = Optic()\n",
    "\n",
    "# add surfaces\n",
    "lens.add_surface(index=0, thickness=be.inf)\n",
    "lens.add_surface(index=1, surface_type='paraxial', thickness=25, f=100)\n",
    "lens.add_surface(index=2, surface_type='paraxial', thickness=25, f=-50, is_stop=True)\n",
    "lens.add_surface(index=3, surface_type='paraxial', thickness=100, f=63.5)\n",
    "lens.add_surface(index=4)\n",
    "\n",
    "# add aperture\n",
    "lens.set_aperture(aperture_type='EPD', value=20)\n",
    "\n",
    "# add field\n",
    "lens.set_field_type(field_type='angle')\n",
    "lens.add_field(y=0)\n",
    "lens.add_field(y=5)\n",
    "\n",
    "# add wavelength\n",
    "lens.add_wavelength(value=0.55, is_primary=True)\n",
    "\n",
    "_ = lens.draw(num_rays=5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens_new = convert_to_thick_lens(lens)\n",
    "_ = lens_new.draw(num_rays=5)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "optiland (3.13.2)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
